محفوظ في:
| المؤلفون الرئيسيون: | , , , |
|---|---|
| التنسيق: | Preprint |
| منشور في: |
2020
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| الموضوعات: | |
| الوصول للمادة أونلاين: | https://arxiv.org/abs/2004.09332 |
| الوسوم: |
إضافة وسم
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جدول المحتويات:
- Discrete quantum walks are periodically driven systems with discrete time evolution. In contrast to ordinary Floquet systems, no microscopic Hamiltonian exists, and the one-period time evolution is given directly by a series of unitary operators. Regarding each constituent unitary operator as a discrete time step, we formulate discrete space-time symmetry in quantum walks and evaluate the corresponding symmetry protected topological phases. In particular, we study chiral and/or time-glide symmetric topological quantum walks in this formalism. Due to discrete nature of time evolution,the topological classification is found to be different from that in conventional Floquet systems. As a concrete example, we study a two-dimensional quantum walk having both chiral and time-glide symmetries, and identify the anomalous edge states protected by these symmetries.